Activity I - Your firm is interested in learning more about how its salaries relate to its employees' tenure with the firm. It has collected the following data for 25 of its employees.

EMPLOYEE NUMBER	TENURE (YEARS)	SALARY ($)
1	15	53,908
2	32	78,230
3	14	55,164
4	20	57,647
5	25	63,111
6	14	54,991
7	28	74,571
8	30	73,189
9	28	71,859
10	17	55,978
11	14	61,676
12	6	44,865
13	21	64,676
14	11	59,101
15	14	58,441
16	32	81,964
17	29	76,373
18	33	82,860
19	27	70,019
20	16	58,474
21	26	80,074
22	3	45,594
23	14	63,676
24	9	68,444
25	14	70,306

Plot these data points, and describe using regression how salary relates to firm tenure for this group.

Activity II - The data attached contains information on customers' ratings of your product (CustRate), on a scale of 1 to 100, along with demographic information. The demographic information includes: income (Inc), age (Age), education (Educ), and marital status (Marr). The last variable equals one if the respondent is married and zero otherwise. Assume the data-generating process can be written as:

CustRate_i=+₁Inc_i+₂Age_i+₃Educ_i+₄Marr_i+U_i.

1. Test the hypothesis that income has no impact on customer rating, using a confidence level of 95%. Be sure to provide the reasoning behind your result.
2. Test the hypothesis that 2=0.05, using a confidence level of 90%. Be sure to provide the reasoning behind your result.
3. Build a 95% confidence interval for the impact of education on customer rating. Be sure to provide the reasoning for your result.
4. Build a 95% confidence interval for the impact of being married on customer rating. Be sure to provide the reasoning for your result.
5. Predict the change in customer rating if a customer's income increases by $10,000, with no change in age, education, or marital status.

CustRate	Inc	Age	Educ	Marr
28	58402	43	18	0
79	89893	83	17	1
35	58034	51	13	1
35	62843	40	13	0
36	80854	56	13	0
41	86470	65	18	1
43	74518	40	19	1
35	55958	44	14	0
18	50279	41	12	1
46	102499	57	20	0
17	62816	43	18	0
36	79303	76	16	0
83	106960	77	16	0
56	89134	76	15	0
8	39297	35	14	1
58	93130	55	19	1
48	70350	55	16	0
58	92032	67	18	1
49	78536	76	11	1
35	55760	46	13	1
45	48631	45	13	0
50	48622	38	14	1
86	102460	80	16	0
32	38090	32	11	0
44	60977	44	16	1
49	65962	39	19	1
44	47447	37	10	1
16	52479	47	16	1
45	51238	55	10	0
50	79284	82	11	1
52	73283	41	14	0
53	78156	64	13	0
26	42190	42	10	0
58	90846	82	15	1
75	88087	71	12	0
54	77947	79	12	1
46	73839	72	10	1
67	79504	70	17	1
79	103551	71	20	0
55	81651	73	11	1
38	76964	73	11	0
41	92002	77	16	1
56	92630	65	17	0
38	81637	62	13	0
41	59079	60	10	0
47	53481	33	13	0
33	61981	31	18	0
22	47444	34	11	0
45	62345	61	10	1
59	90636	71	11	0
39	66924	47	16	0
6	43472	34	14	0
36	63223	41	19	0
83	102024	83	16	1
60	91859	50	20	1
50	51800	32	17	1
68	74147	46	20	0
41	49001	40	15	1
21	63189	52	12	0
45	65693	40	20	1
59	82952	81	14	0
23	65459	37	19	0
47	73623	67	11	1
46	58703	53	10	0
39	75724	52	14	0
69	89721	79	17	1
84	92167	69	18	1
50	84185	75	15	0
45	62827	41	16	0
66	73275	54	15	0
81	97682	73	11	0
68	91359	84	10	1
68	104446	81	16	1
15	32026	38	10	0
24	63546	49	16	1
37	61179	38	17	1
50	71387	56	19	0
64	100364	71	18	1
24	37724	28	10	1
68	84308	60	12	1
38	61819	50	16	1
20	34068	29	13	1
28	54646	30	17	1
57	84758	59	12	1
41	50313	30	19	0
62	73319	64	12	0
19	52824	36	15	0
59	96290	63	20	1
59	94847	82	10	0
73	106430	83	20	1
68	94519	72	17	1
60	79568	44	20	0
33	70571	65	13	1
42	77195	56	18	0
61	94754	67	13	0
57	63482	60	12	1
36	54621	40	18	1
58	98958	83	16	1
17	62514	41	19	1
58	94638	66	12	1
59	77590	65	16	1
56	62972	52	18	1
34	75715	50	18	1
50	66851	48	14	0
26	52452	48	10	1
61	120595	76	16	0
55	81983	79	13	1
41	66972	52	15	0
28	38026	35	17	1
40	93236	76	18	0
39	98003	75	17	1
26	43014	42	12	1
34	57142	41	13	0
55	89995	74	18	1
32	68975	50	16	0
53	76995	78	15	0
31	41771	32	13	1
75	107119	82	17	0
36	79423	60	15	1
33	52455	37	11	0
43	74186	53	18	1
50	88230	76	13	1
49	77681	68	14	0
53	81907	60	20	0
32	74105	53	11	1
71	103295	82	17	1
43	62365	41	20	0
24	50388	34	17	0
29	73826	43	18	0
50	96867	76	20	0
66	81473	59	15	0
46	84895	71	18	1
14	50703	29	17	1
22	50514	35	19	1
65	91143	76	17	1
33	60094	51	11	1
34	72363	40	18	0
55	61569	65	10	1
61	111907	80	13	0
19	50860	39	13	0
69	81328	63	20	0
55	76263	43	18	0
39	52869	34	17	1
76	92165	79	12	1
41	60211	55	14	1
74	88320	74	19	0
49	73401	71	12	0
29	41098	28	18	1
45	46355	52	10	0
64	59752	52	10	1
52	86557	62	13	1
25	50342	46	14	0
61	107203	74	18	0
53	50377	31	14	1
24	72087	57	12	1
27	68073	45	17	1
39	68824	62	10	1
61	84953	42	20	1
76	88289	77	15	0
42	54169	42	20	1
40	47445	50	12	0
64	79659	67	14	0
59	87149	53	20	0
58	85160	65	16	0
86	115642	79	19	0
30	26671	30	10	0
65	99436	83	14	1
57	99677	80	17	0
50	75679	45	20	1
64	86013	76	11	1
49	66922	49	20	0
51	95313	62	15	0
60	102551	69	19	0
47	71334	34	19	0
67	68982	48	16	0
70	89113	74	15	0
68	73545	61	14	1
49	92819	79	11	1
49	78207	84	13	0
46	83274	62	18	0
33	31363	28	11	0
33	57397	48	14	0
45	95774	81	19	0
37	57384	44	19	1
42	63775	63	10	1
80	109560	85	17	0
72	98326	60	20	1
54	73643	64	15	1
48	89103	59	16	0
58	94844	56	17	0
30	65985	39	17	1
56	77875	76	10	0
58	69793	67	13	0
57	74239	42	20	0
55	100675	70	19	1
55	83572	56	17	1
77	99332	63	20	1
44	73084	59	14	0
73	108769	82	15	1
41	59581	45	12	0
54	70716	69	13	0
56	94821	78	14	0
33	62336	37	14	0
62	95083	69	20	0
43	66276	36	19	1
70	108664	79	18	0
56	90094	62	16	1
62	93481	78	20	0
42	83496	62	19	0
39	62503	54	11	1
66	84253	83	17	0
79	105591	76	19	0
36	67780	57	13	1
80	124010	83	19	0
59	74465	63	17	0
45	50544	31	18	0